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2 years ago

X^2-10x+27 in the form (x-a)^2+B

Mathematics

1 answer:

Irina18 [472]2 years ago

4 0

Answer:

(x-5)^2+2

Step-by-step explanation:

To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).

Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:

(x-10x+25)+27-25

Then, we can make (x-10x+25) to (x-5)^2:

(x-5)^2+2

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1 year ago

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2 years ago

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two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s

Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

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$\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}$

The diagram representing the ship's path is drawn and attached below:

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Using Pythagorean Theorem:

$\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}$

The two ships are 37.59 nautical miles apart after 1.5 hours.

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7 months ago

I don't know the awnser can i pls have help

Natali [406]

80 degrees since the corrisponding angle, A, is also 80 degrees

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2 years ago

Need help ASAP <br><br> Have a nice rest of your day <br> -Mellow

VMariaS [17]

Answer:

option c

Step-by-step explanation:

first, find the y-intercept:

the y-intercept is the point where the line intersects at the y-axis, in this case, at 3.

therefore, we can rule out all options except c, sincee the y-intercept is 3

hope this helps :)

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2 years ago

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X^2-10x+27 in the form (x-a)^2+B​

X^2-10x+27 in the form (x-a)^2+B